7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x t-shorts is

Question

7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x t-shorts is given by the equation C=40/30x + 20 and the revenu R, in dollars , made by selling x t-shirts is given by R=15x. The break even point is where revenue equations intersect.

How many t shirts must the company sell to break even?

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Nguyệt Ánh 3 years 2021-08-25T03:23:04+00:00 1 Answers 0 views 0

Answers ( )

  1. thaiduong
    0
    2021-08-25T03:24:51+00:00
    Reply

    Answer:

    The company must sell at least 2 shirts to break even.

    Step-by-step explanation:

    Cost:

    The cost is given by the following equation:

    C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20

    Revenue:

    The revenue is given by the following equation:

    R = 15x

    How many t shirts must the company sell to break even?

    Breakeven point is when the revenue is the same as the costs. So

    \frac{4x}{3} + 20 = 15x

    15x - \frac{4x}{3} = 20

    \frac{45x}{3} - \frac{4x}{3} = 20

    Multiplying everything by 3

    45x - 4x = 60

    41x = 60

    x = \frac{60}{41} = 1,...

    Since you cant make a decimal value of shirts

    The company must sell at least 2 shirts to break even.

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